First of all, welcome to Eve!
Hope that you are enjoying yourself out there. I do agree that Eve is very beautiful and it’s one of the things that kept me in Eve at the beginning.
In Eve there is so much to do and it really depends on what you want to do and try out. To give a view of everything, you can check out this player made flowchart of various playstyles.
(This is an updated one that also notates what you can also do an an Alpha as well.)
In addition to that, there are numerous help articles ingame that you can check out with various tutorials, you can also check out the New Player Resources post here on the forums with links to many wonderful player made guides as well.
I would also recommend to run career agent missions as well since they do help in guiding you in various areas as well. In addition to that the missions usually give you items that are useful for you to start with as well for that particular area so you don’t have to buy them yourself (ie: free ships, modules, blueprints, and skillbooks).
Finding the right corp can take a few times. There are so many great corps out there, you can browse around the recruitment section on the forums or you can even join the recruitment channel ingame to see what is out there.
Hope this was helpful for you and best of luck out there!
Once again, welcome to Eve! Glad to have you! 